On comparison of ${\ell}$-stable vector optimization results

In: Mathematica Slovaca, vol. 64, no. 4

Marie Dvorská - Karel Pastor

Details:

Year, pages: 2014, 973 - 990

Keywords:

${\ell}$-stable function, generalized second-order directional derivative, Dini derivative, weakly efficient minimizer, firm efficient minimizer

DOI: https://doi.org/10.2478/s12175-014-0252-4

About article:

Two papers with similar optimality conditions were published by I. Ginchev, and by D. Bednařík and K. Pastor independently in Nonlinear Analysis in 2011. We compare these results. We also show the equivalence of two definitions of $\ell$-stability of vector functions. Moreover, we generalize another result given by I. Ginchev and V. I. Ivanov [J. Math. Anal. Appl. 340 (2008), 646--657] and compare it with the previously mentioned optimality conditions.

How to cite:

ISO 690:

Dvorská, M., Pastor, K. 2014. On comparison of ${\ell}$-stable vector optimization results. In Mathematica Slovaca, vol. 64, no.4, pp. 973-990. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0252-4

APA:

Dvorská, M., Pastor, K. (2014). On comparison of ${\ell}$-stable vector optimization results. Mathematica Slovaca, 64(4), 973-990. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0252-4

About edition: